Calls originate from Dryden according to a rate 12 Poisson process. 3/4 are local and 1/4...
Calls originate from Dryden according to a rate 12 Poisson process. 3/4 are local and 1/4 are long distance. Local calls last an average of 10 minutes, while long distance calls last an average of 5 minutes. Let M be the number of local calls and N the number of long distance calls in equilibrium. Find the distribution of (M,N). what is the number of people on the line.
Homework Answers
here for an hour expected number of Local calls =12*0.75 =9
therefore expected amount of time spent by Local calls in 8 hours=9*8*10=720
for an hour expected number of Long distance calls =12*0.25 =3
therefore expected amount of time spent by Long distance calls in 8 hours=3*8*5=120
therefore
expected number of minutes that all callers from Dryden will spend on the phone during an eight hour period =720+120=840
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Calls originate from Dryden according to a rate 12 Poisson
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